In: Statistics and Probability
The following table shows site type and type of pottery for a random sample of 628 sherds at an archaeological location.
Pottery Type |
||||
Site Type | Mesa Verde Black-on-White |
McElmo Black-on-White |
Mancos Black-on-White |
Row Total |
Mesa Top | 79 | 62 | 48 | 189 |
Cliff-Talus | 82 | 72 | 59 | 213 |
Canyon Bench | 88 | 64 | 74 | 226 |
Column Total | 249 | 198 | 181 | 628 |
Use a chi-square test to determine if site type and pottery type are independent at the 0.01 level of significance.
(A) Find the value of the chi-square statistic for the sample. (Round the expected frequencies to at least three decimal places. Round the test statistic to three decimal places.)
(B) Find or estimate the P-value of the sample test statistic. (Round your answer to three decimal places.)